If the product of three consecutive integers is 210, then the sum of the integers is:

Question: If the product of three consecutive integers is 210, then the sum of the integers is:

Solution:
Given,
the product of three consecutive integers = 210
= 2 × 3 × 5 × 7
= 5 × (2 × 3) × 7
= 5 × 6 × 7

Clearly, the three consecutive integers whose product is 210 are 5, 6 and 7.

∴ Required sum = 5 + 6 + 7
= 18